#禅与计算机程序设计艺术# what is y combinator in FFP
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Y Combinator is a fixed-point combinator used in functional programming to formally define recursive functions in a programming language that does not support recursion[1]. It was discovered by Haskell B. Curry and is defined as λf.(λx.f(xx))(λx.f(xx))[1]. The Y Combinator allows us to define recursive functions even if the language does not have built-in support for recursion[2]. It is mainly important to theoretical computer scientists, especially programming language theorists[2]. In addition, it can be typed in languages that support recursive data types by appropriately accounting for the recursion at the type level[1]. The Y Combinator is also known as the Z Combinator and can be used in strict languages with tail call optimization[3].

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